﻿var language={
	
	"1. 2D SHAPES" : "1 。 2Dの図形",
	"2. 3D SHAPES" : "2 。 3Dの図形",
	"TRIANGLE" : "三角形",
	"RIGHT TRIANGLE" : "直角三角形",
	"SQUARE" : "正方形",
	"RECTANGLE" : "長方形",
	"PARALLELOGRAM" : "平行四辺形",
	"LOZENGE" : "ひし形",
	"TRAPEZOID" : "台形",
	"CONVEX QUADRILATERAL" : "凸四辺形",
	"CIRCLE" : "円形",
	"SEGMENT OF CIRCLE" : "円形のセグメント",
	"SECTOR OF CIRCLE" : "扇形",
	"REGULAR POLYGON OF N SIDES" : "N個の辺の正多角形",
	"REGULAR POLYGON" : "正多角形",
	"REGULAR POLYGON" : "正多角形",
	"HEXAGON" : "六角形",
	"SPHERE" : "球",
	"CYLINDER" : "円柱",
	"CYLINDER" : "円柱",
	"CONE" : "円錐",
	"FRUSTUM OF RIGHT CIRCULAR CONE" : "円錐台",
	"PYRAMID" : "角錐",
	"SQUARE PYRAMID" : "四角錐",
	"CUBOID" : "直方体",
	"CUBOID" : "直方体",
	"TRIANGULAR PRISM" : "三角柱",
	"A: Area" : "A：面積",
	"A: Area, P: Perimeter" : "A：面積、 P ：周囲",
	"b: Arc length" : "b：アーク長",
	"V: Volume, A: Surface Area" : "V：体積、A ：表面積",
	"A: Lateral surface area" : "A：横表面積",
	"A: Lateral surface area" : "A：横表面積",
	"A: Base Area" : "A：ベース面積",
	"A: Surface Area" : "A：表面積",
	
	"1. OPERATIONS ON EXPRESSIONS \NPOLYNOMINAL" : "1 。式の操作\n多項式",
	"1. OPERATIONS ON EXPRESSIONS" : "1 。式の操作",
	"POLYNOMINAL" : "多項式",
	"FRACTIONS" : "分数",
	"IDENTITY" : "恒等式",
	"EXPONENTIATION" : "冪乗",
	"ROOTS" : "冪根",
	"2. RATE FORMULAS" : "2 。速度公式",
	"3. COMPLEX NUMBERS" : "3 。複素数",
	"COMPLEX PLANE" : "複素平面",
	"4. PROGRESSION \NARITHMETIC  PROGRESSION" : "4 。進行\n等差数列",
	"4. PROGRESSION" : "4 。進行", 
	"ARITHMETIC PROGRESSION" : "等差数列",
	"GEOMETRIC PROGRESSION" : "等比数列",
	"SUMMATIONS" : "和",
	"5. LOGARITHM" : "5 。対数", 
	"DECIMAL LOGARITHM" : "常用対数",
	"NATURAL LOGARITHM" : "自然対数",
	"d: common difference" : "d：公差",
	"q: common ratio" : "q ：公比",
	
	"TRIGONOMETRIC FUNCTIONS FOR A RIGHT TRIANGLE" : "直角三角形のための三角関数",
	"TRIGONOMETRIC TABLE" : "三角関数テーブル",
	"CO-RATIOS" : "共同比",
	"BASIC FORMULAS" : "基本式",
	"MULTIPLE ANGLE FORMULAS" : "複数の角度式",
	"POWERS OF TRIGONOMETRIC FUNCTIONS" : "三角関数のパワーズ",
	"ADDITION FORMULAS" : "加法公式",
	"SUM OF TRIGONOMETRIC FUNCTIONS" : "三角関数の合計",
	"PRODUCT OF TRIGONOMETRIC FUNCTIONS" : "三角関数の積",
	"HALF ANGLE FORMULAS" : "半角式",
	"ANGLES OF A PLANE TRIANGLE" : "三角形の角度",
	"RELATIONSHIPS AMONG TRIGONOMETRIC FUNCTIONS" : "三角関数の関係",
	"α, β, γ are 3 angles of a triangle" : "α 、 βは、 γは、三角形の3角である",
	

	"1. ALGEBRAIC EQUATIONS" : "1 。代数方程式",
	"LINEAR EQUATION" : "線形方程式",
	"SYSTEM OF TWO LINEAR EQUATIONS" : "2連立一次方程式",
	"QUADRATIC EQUATION" : "二次方程式",
	"2. EXPONENT AND LOGARITHM \NEXPONENTIAL EQUATION" : "2 。指数と対数\n指数方程式",
	"2. EXPONENT AND LOGARITHM" : "2 。指数と対数",
	"LOGARITHMIC EQUATION" : "対数方程式",
	"3. TRIGONOMETRIC EQUATION" : "3 。三角方程式",
	"4. INEQUALITIES \NLINEAR INEQUALITY" : "4 。不平等\n線形不等式",
	"4. INEQUALITIES" : "4 。不平等",
	"QUADRATIC INEQUALITY" : "二次不等式",
	"EXPONENTIAL INEQUALITY" : "指数関数的不平等",
	"LOGARITHMIC INEQUALITY" : "対数不等式",
	"TRIGONOMETRIC INEQUALITIES" : "三角不等式",
	"LINEAR EQUATION" : "線形方程式",
	"EXPONENTIAL EQUATION" : "指数方程式",
	"LINEAR INEQUALITY" : "一次不等式",
	"CUBIC EQUATION" : "三次方程式",

	"POINTS" : "点",
	"- Distance between two points A and B" : "- 二つの点AとBの間の距離",
	"- Distance between point A and origin:" : "- 点Aと原点の間の距離：",
	"TRIANGLE" : "三角形",
	"- Area of triangle with vertices at A, B, C" : "- での頂点を持つ三角形の面積A、B、 C",
	"- Area of a triangle with a vertice at origin" : "- 原点に頂点とする三角形の面積",
	"EQUATION OF LINE" : "直線の方程式",
	"- Joining two points A, B" : "- 2点を結ぶA、B",
	"- Passing point A and parallel with line y=ax+b" : "- ラインy=ax+bと点Aと並列を渡す",
	"- Passing point A and perpendicular with line y=ax+b" : "- ラインy=ax+bと点Aと垂直を渡す",
	"EQUATION OF CIRCLE" : "円形の方程式",
	"- Circle with radius r and center at (a, b)" : "- 少なくとも半径rと中心とサークル（a、b）は",
	"- Circle with center at origin" : "- 原点を中心とするサークル",
	"ELLIPSE" : "楕円",
	"HYPERBOLA" : "双曲線",
	"PARABOLA" : "放物線",
	
	"Limit \n" : "を制限 \n",
	"Derivative \n" : "デリバティブ\n",
	"C: constant" : "C：定数",
	"Differentiation \n" : "分化\n",
	"C: constant; u, v, w: functions of x" : "C：定数、 U、V、W ： Xの機能",
	"LIMIT" : "を制限",
	"DERIVATIVE" : "微分法",
	"DIFFERENTIATION" : "分化",
	
	"1. INDEFINITE INTEGRALS" : "1 。不定積分",
	"C: arbitrary constant, k: constant" : "C：任意の定数、k ：定数",
	"INTEGRALS BY PARTIAL FRACTIONS" : "部分分数によって積分",
	"INTEGRALS INVOLVING ROOTS" : "根を含む積分",
	"INTEGRALS INVOLVING TRIGONOMETRIC FUNCTIONS" : "三角関数を含む積分",
	"2. DEFINITE INTEGRALS" : "2 。定積分",
	"APPLICATIONS" : "アプリケーション",
	"- Surface area created by y=f(x)" : "- y=f(x)よりの表面積を計算せよ",
	"- Volume of a solid created by y=f(x) rotated around axis:" : "- 軸の周りに回転するy=f(x)により固体の体積を計算せよ",
	
	"Median" : "中線",
	"Angle bisector" : "二等分線",
	"SPHERICAL CAP" : "球状キャップ",
	"SPHERICAL SEGMENT" : "球状​​セグメント",
	"SPHERICAL SECTOR" : "球状​​セクター",
	"TORUS" : "トーラス",
	"FORMULAS WITH t=tan(x/2)" : "t=tan(x/2)と数式",
	"SIDES AND ANGLES OF A PLANE TRIANGLE" : "側面と平面の三角形の角度",
	"Law of sines, cosines and tangents" : "正弦、余弦および接線の法則",
	
	"1. PLANE ANALYTIC GEOMETRY" : "1. 平面解析的幾何学",
	"2. SOLID ANALYTIC GEOMETRY" : "2. 固体解析幾何学 ",
	"LINE" : "ライン",
	"- Direction Cosines of Line Joining Points A and B" : "- ラインの方向余弦は、ポイントAとBの結合",
	"EQUATION OF LINE JOINING TWO POINTS A, B" : "直線の式は、A、B二点を結ぶ",
	"- In standard form" : "- 標準的な形式で",
	"- In parametric form" : "- パラメトリック形式で",
	"PLANE" : "平面",
	"- General equation of a plane" : "- 平面の一般式",
	"- Equation of plane passing through point A, B, C" : "- 平面の方程式は A、B、C.三点を通る",
	"- Equation of plane in intercept form" : "- 飛行機のインターセプト形方程式",
	"a,b,c are the intercept on the x,y,z axes, respectively" : "のx、y、z軸切片のa、b、cをそれぞれ、",
	"- Normal Form for Equation of Plane" : "- ノーマルタイプの平面方程式",
	"p: perpendicular distance from O to plane at P; α, β, γ: angles between OP and positive x,y,z axes" : "pは原点から平面までの距離であり、法線ベクトルのcosα、cosβ、cosγ平面方向余弦",
	"- Distance from point M to a plane" : "- 平面からの距離に点M",
	"EQUATION OF SPHERE CENTER AT M AND RADIUS R IN RECTANGULAR COORDINATES" : "Mと半径rのグローブのデカルト方程式",
	"EQUATION OF ELLIPSOID WITH CENTER M AND SEMI-AXES a, b, c" : "楕円面",
	"ELLIPTIC CYLINDER WITH AXIS AS z AXIS" : "楕円柱面",
	"ELLIPTIC CONE WITH AXIS AS z AXIS" : "錐面",
	"HYPERBOLOID OF ONE SHEET" : "一葉双曲面",
	"HYPERBOLOID OF TWO SHEETS" : "二葉双曲面",
	"ELLIPTIC PARABOLOID" : "楕円放物面",
	"HYPERBOLIC PARABOLOID" : "双曲放物面",
	
	"TRANSFORMATIONS" : "変換",
	"3. SPECIAL INDEFINITE INTEGRALS" : "3 。特別な不定積分",
	"Integrals involving ax+b" : "ax+ bを含む積分",
	"Integrals involving ax+b and px+q" : "ax+ bとpx+qを含む積分",
	"Integrals involving x^2+a^2" : "x^2 + a^2を含む積分",
	"Integrals involving x^2-a^2, x^2&gt;a^2" : "x^2-a^2で、x^2&gt;a^2を含む積分",
	"Integrals involving x^2-a^2, x^2&lt;a^2" : "x^2-a^2で、x^2&lt;a^2を含む積分",
	"Integrals involving ax^2+bx+c" : "ax^2 + bx+ c が関与する積分",
	"Integrals involving x^n+a^n" : "x^n  + a^n個を含む積分",
	"Integrals involving sin(ax)" : "sin(ax)を含む積分",
	"Integrals involving e^(ax)" : "e^(ax)を含む積分",
	"Integrals involving ln(x)" : "ln(x)を含む積分",
	
	"TRANSPOSE OF A MATRIX" : "転置行列",
	"ADDITION AND SUBTRACTION OF MATRICES" : "行列の加算と減算",
	"MULTIPLICATION OF MATRICES" : "行列の掛け算",
	"DETERMINANT OF MATRIX" : "行列式",
	"INVERSE OF MATRIX" : "行列の逆行列",
	"EQUATION IN MATRIX FORM" : "行列形式で方程式",
	"PROPERTIES OF MATRIX CALCULATIONS" : "行列計算の性質",
	"LENGTH" : "長さ",
	"AREA" : "面積",
	"VOLUME" : "体積",
	"MASS" : "重量",
	"SPEED" : "速度",
	"TIME" : "時間",
	"TEMPERATURE" : "温度",
	"DENSITY" : "密度",
	"FORCE" : "力",
	"ENERGY" : "エネルギー",
	"POWER" : "パワー",
	"PRESSURE" : "圧力",
	"Do you know this?" : "あなたはこれを知っていますか？",
	"What is special about these calculations?" : "これらの計算は何か特別なことがありませんか？",
	"Can you find the interesting trait of these calculations?" : "これらの計算の特徴を見つけませんか。",

};